等比数列的通项公式
若
为等比数列,公比为
.
(1)
的通项公式为_______ ,
(2)
为递增数列的充要条件为_____ ;
为递减数列的充要条件为_____ ;
为常数列的充要条件为______ .
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
23-24高二上·江苏·课后作业 查看更多[1]
(已下线)第4课时 课中 等比数列的概念与通项公式
更新时间:2023-09-09 17:38:24
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【推荐1】在以下数列的通项公式
中,满足对一切
恒有
(递增数列)的数列题号是________ .(1)
;(2)
;(3)
;(4)
;(5)
;(6)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981172860671ea7c5c243aebb2c3db98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a5945ce5c2114af8c18718ca8dc899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be87fda0b9a0e85ef6539b2b60969451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13158d7024e651c904d933435bd1f807.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eebdac113096479db3fb0e4a3c1dbc6.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981172860671ea7c5c243aebb2c3db98.png)
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【推荐2】下列说法:①数列
,
,
,
与
,
,
,
是相同数列;②数列
,
,
,
可表示为
;③数列
,
,
,
,…的一个通项公式为
;④数列
,
,
,
,…是常数列;⑤数列
是严格递增数列,其中正确的是______ .(填编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b551563f2cfcaca65821ada0dd834557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80c1ed7b10ac7ca1cd81cdd39a8fcc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
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解题方法
【推荐1】已知
是等比数列,若
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e6f7a3e4ee336efc05f1a18d6f24039.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8443667f228a2a4373884e78f5e2d37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3295807d4fc00e2f538d8d9e49d7db0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a683d9cd5f84e07bc351819d9dd96df4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e6f7a3e4ee336efc05f1a18d6f24039.png)
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【推荐2】已知等比数列{an}的公比q>1,其前n项和为Sn.若S4=2S2+1,则S6的最小值为_____ .
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